) Solve the linear difference equation: ?(? + 2) − 4?(? + 1) + 3?(?) = 2 ??(?)

Given the initial conditions: ?(0) = 1 , ?(1) = 2

A three-phase 50Hz, 500MVA 15kV generator has an inertia constant of 2pu/s.
a) For a given power system the initial load angle is δ0 and the change in
momentum is M. Following a small disturbance the load angle increases
to δ1. If the accelerating power associated with disturbance is Pa deduce
an equation that expresses δ1 in terms of M, Pa δ0 and time, t.
b) Calculate the
i. Synchronous speed
ii. Change in momentum
c) Initially the mechanical and electrical power delivered equal 1 pu and the
load angle is 10⁰. Calculate the
i. Maximum electrical power
ii. Accelerating power
d) A fault occurs which reduces the electrical power to zero. Calculate the
i. accelerating power
ii. power load angle after 0.05s

Followings are the specifications of a laser displacement sensor:
(a) Measurement range: +10 mm
(b) Measurement centre point: 50 mm
(c) Resolution: 1.5 μ m
(d) Linearity: +0.05 % FS
(e) Response time: 60 μs
(f) Linear output: 4-20 mA
Answer the following questions based on Specs given above.
(i) Draw input output graph for the sensor and properly label it.
(ii) Evaluate the sensitivity of the sensor in mA/mm.
(iii) An object is at a distance of 57 mm from the sensor. Determine the output
of the sensor in mA?
(iv) What is the error in the output of the sensor for the case above [part(iii)]?

How to design the MHO Relay? Need Guidance by using code/modelled or anything.

Write a program (MATLAB) which generates exponential random variables, and use it to test the Central Limit Theorem as follows. For various values of n (say, 5, 10, 20, 50, 100, 1000), generate samples of the random variable Mn = 1/n \tiny \sum Xi where Xi are iid exponential random variables. A very simple method for generating exponential random variables is given on page 196 of the textbook (read that section). Plot the discretized CDF for Mn (an approximation of the CDF using discrete bins) for each n superimposed on the theoretical Gaussian CDF according to the Central Limit Theorem (or plot them next to each other). Calculate the sample mean and variance according to the material in the book and compare these to the theoretical values. Comment briefly on your results. Show all graphs and calculations. Include a copy of your code. Remember, you will need to generate a large number of samples of Mn for each n in order to get decent histograms. I suggest at least 100+ samples. 100 samples of M1000 require 100,000 exponential samples. You may choose any mean and variance you want for your exponential random numbers, but keep these fixed for all samples so that the results are comparable. Using the program written for the previous problem, repeat the whole experiment, but now choose a random mean and variance for each exponential sample. Thus, the Mn now will not be sums of identically distributed random variables. Show your results and comment. For this case, make sure that the distributions you use to choose your mean and variance at each sample are fixed throughout. Write the code in MATLAB.

Design a microcomputer system using a uP 8086 10 Mhz. This system must have a Coprocessor 8087, a parallel connector, a serial connector, ADC and DAC connector for data conversion, a 16 byte seven segment display, a 64-key matrix keyboard, a USB connector thru a DMA for high speed data transfer. A special connector to connect a printer. The system must have an interrupt controller to handle all the I/O interface. The main memory size will be 1 Mbyte.

Show all the diagrams needed to construct your design including all the I/O interface and devices connected, show a memory map and the type of memory you will need for you design including the configuration and decoding system. You must include the programming needed for set up the complete system. Use pseudo code for each driver and program each of the interface needed.

Driver's drowsiness detection using Deep Neural Networks. How it is going to impact our society ? contribution towards society ?

Need to use math lab for the Isim function for calculating the output and state response.

Of the Transfer Function s + 2 / s^2 + 2 s + 2. I been using the following code and it doesn’t work

sys = tf([1 2],[1 2 2])

t = [0:0.01:];

u=0*t;

[y,T,x] = lsim(sys,u,t)

subplot(121), plot(T,x(:,1))

xlabel('Time(s)'),ylabel('x_1')

subplot(122),plot(T,x(:,2))

xlabel('Time(s)'),ylabel('x_2')

a.Agent X and Agent Y are two spies who want to transmit a secret message to their headquarters. In order to ensure secrecy, half of this message is to be transmitted in Urdu by Agent x while the other half in Pashto by Agent Y Both halves when decoded together at the headquarters can convey the complete information and therefore must be sent in a single transmission

They have an AM transmitter but it has one problem that it can only transmit one carrier frequency. How can they simultaneously transmit both messages using this AM transmitter?

b. A radio transmitter TX1 is using amplitude modulation with maximum bandwidth of 10 kHz Due to some technical issue, the amplitude modulator stops working Technicians found out that it will take at least two days to repair the modulator. They have a frequency modulator and they want to use it to transmit the information using frequency modulation. Is it possible with the given constraints? Why or

why not?

For a power supply with full wave bridge rectifier, input voltage is 230 V and required output voltage

is 12 V DC Load resistance is of 100 . Determine output rms voltage, dc current, rms current, power, ac power, efficiency of the rectifier, form factor, ripple factor, transformer utilization factor,

and size of the transformer Draw complete diagram of the supply circuit

Arrange the likely impedance in the following category of systems from the highest to lowest. Unearthed, solidly earthed, impedance earthed. (2

theme: laplace

specify multiple applications in real life